Consider the following exchange economy: u (x1, x2) = min{2x1, x2} u³ (x, x2) = min{x, 2x} = (2, 2) B = (2, 2) Let P₁/p2 denote the relative price. Suppose = 1. = (a) Show that both markets clear at this relative price by computing the optimal consumption plan for each consumer and showing that these plans are feasible. [25 marks] (b) What is the associated WEA? How many units are bought and sold on each market? [10 marks] (c) Illustrate this equilibrium in an Edgeworth Box diagram. Your diagram should include the WEA, the budget line, and each con- sumer's indifference curve through the WEA. [15 marks]

Essentials of Business Analytics (MindTap Course List)
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ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter15: Decision Analysis
Section: Chapter Questions
Problem 13P: The following profit payoff table was presented in Problem 1: The probabilities for the states of...
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Consider the following exchange economy:
u (x1, x2) = min{2x1, x2}
u³ (x, x2) = min{x, 2x}
=
(2, 2)
B = (2, 2)
Let P₁/p2 denote the relative price. Suppose = 1.
=
(a) Show that both markets clear at this relative price by computing
the optimal consumption plan for each consumer and showing that
these plans are feasible.
[25 marks]
(b) What is the associated WEA? How many units are bought and
sold on each market?
[10 marks]
(c) Illustrate this equilibrium in an Edgeworth Box diagram. Your
diagram should include the WEA, the budget line, and each con-
sumer's indifference curve through the WEA.
[15 marks]
Transcribed Image Text:Consider the following exchange economy: u (x1, x2) = min{2x1, x2} u³ (x, x2) = min{x, 2x} = (2, 2) B = (2, 2) Let P₁/p2 denote the relative price. Suppose = 1. = (a) Show that both markets clear at this relative price by computing the optimal consumption plan for each consumer and showing that these plans are feasible. [25 marks] (b) What is the associated WEA? How many units are bought and sold on each market? [10 marks] (c) Illustrate this equilibrium in an Edgeworth Box diagram. Your diagram should include the WEA, the budget line, and each con- sumer's indifference curve through the WEA. [15 marks]
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